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Mila [183]
2 years ago
8

The perimeter of a rectangle is 120 meters and the length is 20 meters longer than the width. Find the dimensions of the rectang

le. Let x = the length and y = the
2+2y = 12)
width. The corresponding modeling system is 2x + 2y =120 x-y = 20
Solve the system graphically
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
8 0

The dimension of the rectangle is 40meters by 20meters

<h3>What is the perimeter of a figure?</h3>

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

Learn more on perimeter of figure here: brainly.com/question/22447290

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masya89 [10]

Answer:

The value of the expression given is:

  • 4

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

  1. [(3^8)*(2^(-5))*(9^0)]^(-2)
  2. [(2^(-2))/(3^3)]^4
  3. 3^28

Now, we can solve each part one by one:

<em>First part. </em>

  • 3^8 = 6561
  • 2^(-5) = 0.03125
  • 9^0 = 1 (Whatever number elevated to 0, its value is 1)
  • (6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

  • 205.03125^-2 = 2<u>.378810688*10^(-5)</u> or <u>0.00002378810688 </u>

<em>Second part. </em>

  • 2^(-2) = 0.25
  • 3^3 = 27
  • 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

  • 0.00925925925925^4 = <u>7.350298528 * 10^(-9)</u> or <u>0.000000007350298528 </u>

<em>Third Part. </em>

  • 3^28 = <u>2.287679245 * 10^13</u> or <u>22876792450000</u>

At last, we multiply all the results obtained:

  • 0.00002378810688 * 0.000000007350298528 * 22876792450000 = <u>3.999999999999999999</u> approximately <u>4</u>

<u><em>We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result</em></u>.

3 0
3 years ago
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Because both triangles appear to be isosceles!!!!!!???!!!!
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2 years ago
I need help on this cause I got the last one wrong..
mihalych1998 [28]

Answer:

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"Some integers are not whole numbers" True

Step-by-step explanation:

I'm 100% sure of this.

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2 years ago
Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound
KengaRu [80]

Answer:

x = 28 ----- Banana

y = 54 ----- Almonds

z = 18 ---- Chocolate

Step-by-step explanation:

Let

x \to banana

y \to almonds

z \to chocolate

So, we have:

x + y + z = 100 --- total used

4x + 8y + 6z = 652 -- i.e. 6.52 * 100 --- total sales from 100 pounds

y = 3z

Required

The number of pounds of each (i.e. x, y and z)

Substitute y = 3z in x + y + z = 100

x + 3z + z = 100

x + 4z = 100

Make x the subject

x = 100 - 4z

Substitute y = 3z in 4x + 8y + 6z = 652

4x + 8 * 3z + 6z = 652

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4x + 30z = 652

Substitute x = 100 - 4z

4(100 - 4z) + 30z = 652

400 - 16z + 30z = 652

Collect like terms

- 16z + 30z = 652-400

14z = 252

Divide by 14

z = 18

Substitute z = 18 in x = 100 - 4z

x = 100 - 4 * 18

x = 100 - 72

x = 28

To calculate y, we have:

y = 3z

y = 3 * 18

y = 54

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DENIUS [597]

Answer:

A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We want to determine the graph of x\geq 98.6.

Since we have the sign, \geq, we use a closed circle to show that the number 98.6 is included in the domain of definition.

Then since the sign is greater than, we shade to the right of 98.6.

The correct option is A.

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